Two identical arrows, one with twice the kinetic energy of the other, are fired into a bale of hay. Compared with penetration of the slow arrow, the faster arrow penetrates
A)the same distance.
B)twice as far.
C)four times as far.
D)more than four times as far.
E)none of the above

Question

Quizplus · Accepted Answer

The kinetic energy of an object is proportional to the square of its velocity. If one arrow has twice the kinetic energy of the other, it means its velocity is √2 times greater. Since penetration distance is proportional to kinetic energy, the faster arrow penetrates twice as far.

Two Identical Arrows, One with Twice the Kinetic Energy of the Other